Question

The sum of a number and its inverse is 3 29/52. Find the number?

Answer 1

Answer:

$x1=\frac{329+\sqrt{329^{2}-10816 } }{104}$

$x2=\frac{329-\sqrt{329^{2} -10816} }{104}$

Step-by-step explanation:

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

($\frac{(52x^{2} +52-329x)}{52x} =0$

$52x^{2} +52-329x=0$

$52x^{2} -329x+52=0$

using the quadratic formular

$(-b+-√b^2-4ac) / 2a$

$x=\frac{329+-\sqrt{(329)^{2} -4*52*52} }{2*52}$

$x1=\frac{329+\sqrt{329^{2}-10816 } }{104}$

$x2=\frac{329-\sqrt{329^{2} -10816} }{104}$

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